Least Common Multiple (LCM) of 93 and 122
The least common multiple (LCM) of 93 and 122 is 11346.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 93 and 122?
First, calculate the GCD of 93 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 122 = 0 remainder 93 |
| 2 | 122 ÷ 93 = 1 remainder 29 |
| 3 | 93 ÷ 29 = 3 remainder 6 |
| 4 | 29 ÷ 6 = 4 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 54 | 1188 |
| 129 and 39 | 1677 |
| 128 and 91 | 11648 |
| 199 and 80 | 15920 |
| 135 and 150 | 1350 |